As the tunneling completes and spacetime becomes classical, the layered structure imprinted by quantum genesis translates into:
Spatial inhomogeneities, consistent with Lematre--Tolman--Bondi-like radial variations,
Hubble parameter variation across concentric regions,
Topological relics from the nucleation barrier, which may manifest as localized CMB anomalies or large-scale voids.
This model thus circumvents the singularity, provides a mechanism for cosmological layer formation, and unifies quantum field theory, topology, and general relativity in a coherent genesis framework.
C. Fractal Geometry: Emergence of (r)rDH3\rho(r) \sim r^{D_H - 3} from Coarse-Graining and RG Flows
One of the most intriguing features of the observed Universe is the self-similar clustering of matter on large scales, suggesting that fractal-like structures may underlie cosmic organization beyond what the CDM model explicitly predicts. In this section, we propose that the cosmic matter distribution's effective fractality arises naturally from renormalization group (RG) flows and coarse-graining of spacetime degrees of freedom.
1. Empirical Motivation: Evidence for Cosmic Fractality
Observations of galaxy surveys such as SDSS and 2dFGRS have revealed:
Non-uniform galaxy clustering across scales up to ~100 Mpc,
Void distributions and filamentary structures with apparent scale-invariance,
